1457981873064 has 192 divisors, whose sum is σ = 4528630680000. Its totient is φ = 433331721216.

The previous prime is 1457981873059. The next prime is 1457981873077. The reversal of 1457981873064 is 4603781897541.

1457981873064 is a `hidden beast` number, since 1 + 457 + 98 + 1 + 8 + 7 + 30 + 64 = 666.

It is a super-2 number, since 2×1457981873064² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1457981872992 and 1457981873010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571422 + ... + 1800690.

It is an arithmetic number, because the mean of its divisors is an integer number (23586618125).

Almost surely, 2^{1457981873064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457981873064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264315340000).

1457981873064 is an abundant number, since it is smaller than the sum of its proper divisors (3070648806936).

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

1457981873064 is a wasteful number, since it uses less digits than its factorization.

1457981873064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229337 (or 1229310 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1457981873064 in words is "one trillion, four hundred fifty-seven billion, nine hundred eighty-one million, eight hundred seventy-three thousand, sixty-four".