11797417632 has 384 divisors, whose sum is σ = 41821194240. Its totient is φ = 2812170240.

The previous prime is 11797417609. The next prime is 11797417633. The reversal of 11797417632 is 23671479711.

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

Its product of digits (444528) is a multiple of the sum of its prime factors (756).

It is not an unprimeable number, because it can be changed into a prime (11797417633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28155919 + ... + 28156337.

It is an arithmetic number, because the mean of its divisors is an integer number (108909360).

Almost surely, 2^11797417632 is an apocalyptic number.

11797417632 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 11797417632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910597120).

11797417632 is an abundant number, since it is smaller than the sum of its proper divisors (30023776608).

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

11797417632 is a wasteful number, since it uses less digits than its factorization.

11797417632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its digits is 444528, while the sum is 48.

The spelling of 11797417632 in words is "eleven billion, seven hundred ninety-seven million, four hundred seventeen thousand, six hundred thirty-two".