117892472544 has 1152 divisors, whose sum is σ = 468825477120. Its totient is φ = 28217548800.

The previous prime is 117892472543. The next prime is 117892472549. The reversal of 117892472544 is 445274298711.

It is a happy number.

117892472544 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 9 + 24 + 72 + 544 = 666.

It is a super-3 number, since 3×117892472544³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117892472543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 489180264 + ... + 489180504.

It is an arithmetic number, because the mean of its divisors is an integer number (406966560).

Almost surely, 2^117892472544 is an apocalyptic number.

117892472544 is a gapful number since it is divisible by the number (14) 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 117892472544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234412738560).

117892472544 is an abundant number, since it is smaller than the sum of its proper divisors (350933004576).

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

117892472544 is a wasteful number, since it uses less digits than its factorization.

117892472544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 117892472544 in words is "one hundred seventeen billion, eight hundred ninety-two million, four hundred seventy-two thousand, five hundred forty-four".