351887426401 has 27 divisors (see below), whose sum is σ = 414735847443. Its totient is φ = 297691989840.

The previous prime is 351887426369. The next prime is 351887426431. The reversal of 351887426401 is 104624788153.

The square root of 351887426401 is 593201.

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

It can be written as a sum of positive squares in only one way, i.e., 204845854801 + 147041571600 = 452599^2 + 383460^2 .

It is not a de Polignac number, because 351887426401 - 2⁵ = 351887426369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (351887426431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 344649271 + ... + 344650291.

Almost surely, 2^351887426401 is an apocalyptic number.

351887426401 is the 593201-st square number.

351887426401 is the 296601-st centered octagonal number.

It is an amenable number.

351887426401 is a deficient number, since it is larger than the sum of its proper divisors (62848421042).

351887426401 is an frugal number, since it uses more digits than its factorization.

351887426401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 351887426401 by its sum of digits (49), we get a square (17242483893649 = 4152407²).

351887426401 divided by its sum of digits (49) gives a square (7181376049 = 84743²).

The spelling of 351887426401 in words is "three hundred fifty-one billion, eight hundred eighty-seven million, four hundred twenty-six thousand, four hundred one".