11917645152 has 288 divisors, whose sum is σ = 37927509984. Its totient is φ = 3264307200.

The previous prime is 11917645027. The next prime is 11917645153. The reversal of 11917645152 is 25154671911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11917645153) 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, 11764198 + ... + 11765210.

It is an arithmetic number, because the mean of its divisors is an integer number (131692743).

Almost surely, 2^11917645152 is an apocalyptic number.

11917645152 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 11917645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18963754992).

11917645152 is an abundant number, since it is smaller than the sum of its proper divisors (26009864832).

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

11917645152 is a wasteful number, since it uses less digits than its factorization.

11917645152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1127 counting only the distinct ones).

The product of its digits is 75600, while the sum is 42.

The spelling of 11917645152 in words is "eleven billion, nine hundred seventeen million, six hundred forty-five thousand, one hundred fifty-two".