1456106756 has 24 divisors (see below), whose sum is σ = 2748887064. Its totient is φ = 670901760.

The previous prime is 1456106737. The next prime is 1456106767. The reversal of 1456106756 is 6576016541.

It can be written as a sum of positive squares in 4 ways, for example, as 13322500 + 1442784256 = 3650^2 + 37984^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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, 7226 + ... + 54446.

It is an arithmetic number, because the mean of its divisors is an integer number (114536961).

Almost surely, 2^1456106756 is an apocalyptic number.

It is an amenable number.

1456106756 is a deficient number, since it is larger than the sum of its proper divisors (1292780308).

1456106756 is a wasteful number, since it uses less digits than its factorization.

1456106756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47831 (or 47829 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 1456106756 is about 38158.9669147371. The cubic root of 1456106756 is about 1133.4379220279.

The spelling of 1456106756 in words is "one billion, four hundred fifty-six million, one hundred six thousand, seven hundred fifty-six".