1456618880970 has 144 divisors (see below), whose sum is σ = 4381895437920. Its totient is φ = 334534432320.

The previous prime is 1456618880953. The next prime is 1456618881001. The reversal of 1456618880970 is 790888166541.

1456618880970 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 618 + 8 + 8 + 0 + 9 + 7 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1456618880898 and 1456618880907.

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 71 ways as a sum of consecutive naturals, for example, 3313024 + ... + 3726843.

It is an arithmetic number, because the mean of its divisors is an integer number (30429829430).

Almost surely, 2^{1456618880970} is an apocalyptic number.

1456618880970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1456618880970 is an abundant number, since it is smaller than the sum of its proper divisors (2925276556950).

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

1456618880970 is a wasteful number, since it uses less digits than its factorization.

1456618880970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039921 (or 7039907 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 1456618880970 in words is "one trillion, four hundred fifty-six billion, six hundred eighteen million, eight hundred eighty thousand, nine hundred seventy".