190918456272 has 160 divisors (see below), whose sum is σ = 558961724160. Its totient is φ = 62369948160.

The previous prime is 190918456243. The next prime is 190918456319. The reversal of 190918456272 is 272654819091.

It is a happy number.

190918456272 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 1 + 8 + 4 + 5 + 627 + 2 = 666.

It is a super-3 number, since 3×190918456272³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23372733 + ... + 23380899.

It is an arithmetic number, because the mean of its divisors is an integer number (3493510776).

Almost surely, 2^190918456272 is an apocalyptic number.

190918456272 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 190918456272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279480862080).

190918456272 is an abundant number, since it is smaller than the sum of its proper divisors (368043267888).

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

190918456272 is a wasteful number, since it uses less digits than its factorization.

190918456272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 190918456272 in words is "one hundred ninety billion, nine hundred eighteen million, four hundred fifty-six thousand, two hundred seventy-two".