11416998555648 has 312 divisors, whose sum is σ = 37833147525888. Its totient is φ = 3249577230336.

The previous prime is 11416998555619. The next prime is 11416998555679. The reversal of 11416998555648 is 84655589961411.

11416998555648 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 9 + 9 + 8 + 55 + 564 + 8 = 666.

It is a super-3 number, since 3×11416998555648³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67782511 + ... + 67950737.

It is an arithmetic number, because the mean of its divisors is an integer number (121260088224).

Almost surely, 2^{11416998555648} is an apocalyptic number.

11416998555648 is a gapful number since it is divisible by the number (18) 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 11416998555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916573762944).

11416998555648 is an abundant number, since it is smaller than the sum of its proper divisors (26416148970240).

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

11416998555648 is a wasteful number, since it uses less digits than its factorization.

11416998555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168527 (or 168502 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 72.

The spelling of 11416998555648 in words is "eleven trillion, four hundred sixteen billion, nine hundred ninety-eight million, five hundred fifty-five thousand, six hundred forty-eight".