1457206564000 has 192 divisors, whose sum is σ = 3907209301632. Its totient is φ = 529708032000.

The previous prime is 1457206563983. The next prime is 1457206564019. The reversal of 1457206564000 is 4656027541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226728787 + ... + 226735213.

It is an arithmetic number, because the mean of its divisors is an integer number (20350048446).

Almost surely, 2^{1457206564000} is an apocalyptic number.

1457206564000 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 1457206564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953604650816).

1457206564000 is an abundant number, since it is smaller than the sum of its proper divisors (2450002737632).

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

1457206564000 is a wasteful number, since it uses less digits than its factorization.

1457206564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11598 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 1457206564000 in words is "one trillion, four hundred fifty-seven billion, two hundred six million, five hundred sixty-four thousand".