11751914496 has 528 divisors, whose sum is σ = 39897700352. Its totient is φ = 3008102400.

The previous prime is 11751914467. The next prime is 11751914497. The reversal of 11751914496 is 69441915711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11751914497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192654306 + ... + 192654366.

Almost surely, 2^11751914496 is an apocalyptic number.

11751914496 is a gapful number since it is divisible by the number (16) 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 11751914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948850176).

11751914496 is an abundant number, since it is smaller than the sum of its proper divisors (28145785856).

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

11751914496 is a wasteful number, since it uses less digits than its factorization.

11751914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The spelling of 11751914496 in words is "eleven billion, seven hundred fifty-one million, nine hundred fourteen thousand, four hundred ninety-six".