456540003621 has 56 divisors (see below), whose sum is σ = 760930021376. Its totient is φ = 271884690720.

The previous prime is 456540003607. The next prime is 456540003701. The reversal of 456540003621 is 126300045654.

456540003621 is a `hidden beast` number, since 4 + 56 + 540 + 0 + 0 + 3 + 62 + 1 = 666.

It is not a de Polignac number, because 456540003621 - 2¹⁷ = 456539872549 is a prime.

It is a super-2 number, since 2×456540003621² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456540002621) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 483205 + ... + 1070778.

It is an arithmetic number, because the mean of its divisors is an integer number (13588036096).

Almost surely, 2^456540003621 is an apocalyptic number.

It is an amenable number.

456540003621 is a deficient number, since it is larger than the sum of its proper divisors (304390017755).

456540003621 is a wasteful number, since it uses less digits than its factorization.

456540003621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554045 (or 1554030 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 456540003621 in words is "four hundred fifty-six billion, five hundred forty million, three thousand, six hundred twenty-one".