1453640564000 has 48 divisors (see below), whose sum is σ = 3571594875576. Its totient is φ = 581456224000.

The previous prime is 1453640563993. The next prime is 1453640564093. The reversal of 1453640564000 is 4650463541.

It can be written as a sum of positive squares in 4 ways, for example, as 583323227536 + 870317336464 = 763756^2 + 932908^2 .

It is a super-2 number, since 2×1453640564000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181701071 + ... + 181709070.

Almost surely, 2^{1453640564000} is an apocalyptic number.

1453640564000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1453640564000 is an abundant number, since it is smaller than the sum of its proper divisors (2117954311576).

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

1453640564000 is an equidigital number, since it uses as much as digits as its factorization.

1453640564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363410166 (or 363410148 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 1453640564000 in words is "one trillion, four hundred fifty-three billion, six hundred forty million, five hundred sixty-four thousand".