164514736071400 has 192 divisors, whose sum is σ = 468904514440320. Its totient is φ = 52820784614400.

The previous prime is 164514736071383. The next prime is 164514736071449. The reversal of 164514736071400 is 4170637415461.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124391407 + ... + 125707006.

It is an arithmetic number, because the mean of its divisors is an integer number (2442211012710).

Almost surely, 2^{164514736071400} is an apocalyptic number.

164514736071400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164514736071400 is an abundant number, since it is smaller than the sum of its proper divisors (304389778368920).

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

164514736071400 is a wasteful number, since it uses less digits than its factorization.

164514736071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250098476 (or 250098467 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 164514736071400 in words is "one hundred sixty-four trillion, five hundred fourteen billion, seven hundred thirty-six million, seventy-one thousand, four hundred".