190945077112944 has 800 divisors, whose sum is σ = 691193307796992. Its totient is φ = 49439870208000.

The previous prime is 190945077112921. The next prime is 190945077112967. The reversal of 190945077112944 is 449211770549091.

190945077112944 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 4 + 507 + 7 + 112 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (190945077112921) and next prime (190945077112967).

It is a super-2 number, since 2×190945077112944² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49972538554 + ... + 49972542374.

Almost surely, 2^{190945077112944} is an apocalyptic number.

190945077112944 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 190945077112944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345596653898496).

190945077112944 is an abundant number, since it is smaller than the sum of its proper divisors (500248230684048).

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

190945077112944 is a wasteful number, since it uses less digits than its factorization.

190945077112944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 190945077112944 in words is "one hundred ninety trillion, nine hundred forty-five billion, seventy-seven million, one hundred twelve thousand, nine hundred forty-four".