356394672144 has 675 divisors, whose sum is σ = 1266654458223. Its totient is φ = 96454157184.

The previous prime is 356394672113. The next prime is 356394672187. The reversal of 356394672144 is 441276493653.

The square root of 356394672144 is 596988.

It is a perfect power (a square), and thus also a powerful number.

356394672144 is a `hidden beast` number, since 3 + 5 + 6 + 39 + 467 + 2 + 144 = 666.

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 134 ways as a sum of consecutive naturals, for example, 3460142397 + ... + 3460142499.

Almost surely, 2^356394672144 is an apocalyptic number.

356394672144 is the 596988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356394672144

356394672144 is an abundant number, since it is smaller than the sum of its proper divisors (910259786079).

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

356394672144 is a wasteful number, since it uses less digits than its factorization.

356394672144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 138 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 356394672144 in words is "three hundred fifty-six billion, three hundred ninety-four million, six hundred seventy-two thousand, one hundred forty-four".