1472256457056 has 1728 divisors, whose sum is σ = 5790535188480. Its totient is φ = 362125209600.

The previous prime is 1472256457013. The next prime is 1472256457081. The reversal of 1472256457056 is 6507546522741.

1472256457056 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 2 + 5 + 64 + 570 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1472256456993 and 1472256457011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11592570465 + ... + 11592570591.

It is an arithmetic number, because the mean of its divisors is an integer number (3351004160).

Almost surely, 2^{1472256457056} is an apocalyptic number.

1472256457056 is a gapful number since it is divisible by the number (16) 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 1472256457056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895267594240).

1472256457056 is an abundant number, since it is smaller than the sum of its proper divisors (4318278731424).

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

1472256457056 is a wasteful number, since it uses less digits than its factorization.

1472256457056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 1472256457056 in words is "one trillion, four hundred seventy-two billion, two hundred fifty-six million, four hundred fifty-seven thousand, fifty-six".