11351373264 has 640 divisors, whose sum is σ = 43642920960. Its totient is φ = 2737152000.

The previous prime is 11351373217. The next prime is 11351373311. The reversal of 11351373264 is 46237315311.

11351373264 is a `hidden beast` number, since 1 + 13 + 513 + 73 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (11351373217) and next prime (11351373311).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28307464 + ... + 28307864.

It is an arithmetic number, because the mean of its divisors is an integer number (68192064).

Almost surely, 2^11351373264 is an apocalyptic number.

11351373264 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 11351373264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21821460480).

11351373264 is an abundant number, since it is smaller than the sum of its proper divisors (32291547696).

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

11351373264 is a wasteful number, since it uses less digits than its factorization.

11351373264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

Adding to 11351373264 its reverse (46237315311), we get a palindrome (57588688575).

The spelling of 11351373264 in words is "eleven billion, three hundred fifty-one million, three hundred seventy-three thousand, two hundred sixty-four".