1456620526272 has 168 divisors, whose sum is σ = 3991258951680. Its totient is φ = 468351452160.

The previous prime is 1456620526243. The next prime is 1456620526327. The reversal of 1456620526272 is 2726250266541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828094929 + ... + 828096687.

It is an arithmetic number, because the mean of its divisors is an integer number (23757493760).

Almost surely, 2^{1456620526272} is an apocalyptic number.

1456620526272 is a gapful number since it is divisible by the number (12) 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 1456620526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995629475840).

1456620526272 is an abundant number, since it is smaller than the sum of its proper divisors (2534638425408).

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

1456620526272 is an equidigital number, since it uses as much as digits as its factorization.

1456620526272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 1456620526272 in words is "one trillion, four hundred fifty-six billion, six hundred twenty million, five hundred twenty-six thousand, two hundred seventy-two".