11376946152 has 384 divisors, whose sum is σ = 38658384000. Its totient is φ = 3069480960.

The previous prime is 11376946151. The next prime is 11376946157. The reversal of 11376946152 is 25164967311.

11376946152 is a `hidden beast` number, since 1 + 137 + 6 + 9 + 461 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11376946098 and 11376946107.

It is not an unprimeable number, because it can be changed into a prime (11376946151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11644288 + ... + 11645264.

It is an arithmetic number, because the mean of its divisors is an integer number (100672875).

Almost surely, 2^11376946152 is an apocalyptic number.

11376946152 is a gapful number since it is divisible by the number (12) 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 11376946152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329192000).

11376946152 is an abundant number, since it is smaller than the sum of its proper divisors (27281437848).

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

11376946152 is a wasteful number, since it uses less digits than its factorization.

11376946152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1035 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11376946152 in words is "eleven billion, three hundred seventy-six million, nine hundred forty-six thousand, one hundred fifty-two".