314139081163680 has 960 divisors, whose sum is σ = 1219646200227840. Its totient is φ = 75792018069504.

The previous prime is 314139081163651. The next prime is 314139081163693. The reversal of 314139081163680 is 86361180931413.

314139081163680 is a `hidden beast` number, since 3 + 1 + 41 + 390 + 81 + 1 + 63 + 6 + 80 = 666.

It is a super-2 number, since 2×314139081163680² (a number of 30 digits) contains 22 as substring.

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

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, 3641600229 + ... + 3641686491.

It is an arithmetic number, because the mean of its divisors is an integer number (1270464791904).

Almost surely, 2^{314139081163680} is an apocalyptic number.

314139081163680 is a gapful number since it is divisible by the number (30) 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 314139081163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609823100113920).

314139081163680 is an abundant number, since it is smaller than the sum of its proper divisors (905507119064160).

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

314139081163680 is a wasteful number, since it uses less digits than its factorization.

314139081163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86975 (or 86958 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 314139081163680 in words is "three hundred fourteen trillion, one hundred thirty-nine billion, eighty-one million, one hundred sixty-three thousand, six hundred eighty".