406348892064 has 36 divisors (see below), whose sum is σ = 1155554662626. Its totient is φ = 135449630592.

The previous prime is 406348892039. The next prime is 406348892107. The reversal of 406348892064 is 460298843604.

406348892064 is a `hidden beast` number, since 40 + 63 + 488 + 9 + 2 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 390950067600 + 15398824464 = 625260^2 + 124092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 406348892064.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 705466539 + ... + 705467114.

Almost surely, 2^406348892064 is an apocalyptic number.

It is an amenable number.

406348892064 is an abundant number, since it is smaller than the sum of its proper divisors (749205770562).

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

406348892064 is a wasteful number, since it uses less digits than its factorization.

406348892064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410933669 (or 1410933658 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 406348892064 in words is "four hundred six billion, three hundred forty-eight million, eight hundred ninety-two thousand, sixty-four".