1451516564000 has 96 divisors (see below), whose sum is σ = 3579253934256. Its totient is φ = 578510131200.

The previous prime is 1451516563997. The next prime is 1451516564089. The reversal of 1451516564000 is 4656151541.

It can be written as a sum of positive squares in 8 ways, for example, as 28448894224 + 1423067669776 = 168668^2 + 1192924^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452984 + ... + 1763016.

Almost surely, 2^{1451516564000} is an apocalyptic number.

1451516564000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451516564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789626967128).

1451516564000 is an abundant number, since it is smaller than the sum of its proper divisors (2127737370256).

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

1451516564000 is a wasteful number, since it uses less digits than its factorization.

1451516564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310335 (or 1310317 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 1451516564000 in words is "one trillion, four hundred fifty-one billion, five hundred sixteen million, five hundred sixty-four thousand".