190701394416 has 320 divisors, whose sum is σ = 601478169600. Its totient is φ = 57490891776.

The previous prime is 190701394349. The next prime is 190701394439. The reversal of 190701394416 is 614493107091.

It is a happy number.

190701394416 is a `hidden beast` number, since 1 + 9 + 0 + 70 + 139 + 441 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123590541 + ... + 123592083.

It is an arithmetic number, because the mean of its divisors is an integer number (1879619280).

Almost surely, 2^190701394416 is an apocalyptic number.

190701394416 is a gapful number since it is divisible by the number (16) 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 190701394416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300739084800).

190701394416 is an abundant number, since it is smaller than the sum of its proper divisors (410776775184).

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

190701394416 is a wasteful number, since it uses less digits than its factorization.

190701394416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 190701394416 in words is "one hundred ninety billion, seven hundred one million, three hundred ninety-four thousand, four hundred sixteen".