314644532139990 has 320 divisors, whose sum is σ = 932495741565696. Its totient is φ = 75634985357568.

The previous prime is 314644532139953. The next prime is 314644532140019. The reversal of 314644532139990 is 99931235446413.

314644532139990 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 4 + 4 + 532 + 1 + 3 + 9 + 9 + 90 = 666.

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

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, 2410135897 + ... + 2410266443.

Almost surely, 2^{314644532139990} is an apocalyptic number.

314644532139990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314644532139990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466247870782848).

314644532139990 is an abundant number, since it is smaller than the sum of its proper divisors (617851209425706).

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

314644532139990 is a wasteful number, since it uses less digits than its factorization.

314644532139990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135945 (or 135936 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 314644532139990 in words is "three hundred fourteen trillion, six hundred forty-four billion, five hundred thirty-two million, one hundred thirty-nine thousand, nine hundred ninety".