11198397256704 has 2112 divisors, whose sum is σ = 42190327775232. Its totient is φ = 2897001676800.

The previous prime is 11198397256667. The next prime is 11198397256741. The reversal of 11198397256704 is 40765279389111.

11198397256704 is a `hidden beast` number, since 1 + 1 + 198 + 397 + 2 + 56 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11198397256667) and next prime (11198397256741).

It is a super-2 number, since 2×11198397256704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88176356289 + ... + 88176356415.

It is a 2-persistent number, because it is pandigital, and so is 2⋅11198397256704 = 22396794513408, but 3⋅11198397256704 = 33595191770112 is not.

Almost surely, 2^{11198397256704} is an apocalyptic number.

11198397256704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11198397256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21095163887616).

11198397256704 is an abundant number, since it is smaller than the sum of its proper divisors (30991930518528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11198397256704 is a wasteful number, since it uses less digits than its factorization.

11198397256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 11198397256704 in words is "eleven trillion, one hundred ninety-eight billion, three hundred ninety-seven million, two hundred fifty-six thousand, seven hundred four".