11845768320 has 128 divisors (see below), whose sum is σ = 41953824000. Its totient is φ = 3158866944.

The previous prime is 11845768313. The next prime is 11845768387. The reversal of 11845768320 is 2386754811.

11845768320 is a `hidden beast` number, since 118 + 457 + 6 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11845768320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325480 + ... + 360039.

It is an arithmetic number, because the mean of its divisors is an integer number (327764250).

Almost surely, 2^11845768320 is an apocalyptic number.

11845768320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11845768320 is an abundant number, since it is smaller than the sum of its proper divisors (30108055680).

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

11845768320 is an equidigital number, since it uses as much as digits as its factorization.

11845768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685547 (or 685529 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11845768320 in words is "eleven billion, eight hundred forty-five million, seven hundred sixty-eight thousand, three hundred twenty".