1457348405688 has 96 divisors (see below), whose sum is σ = 4511559368160. Its totient is φ = 416318883840.

The previous prime is 1457348405663. The next prime is 1457348405707. The reversal of 1457348405688 is 8865048437541.

1457348405688 is a `hidden beast` number, since 1 + 4 + 5 + 73 + 484 + 0 + 5 + 6 + 88 = 666.

It is a super-2 number, since 2×1457348405688² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2978656 + ... + 3433232.

It is an arithmetic number, because the mean of its divisors is an integer number (46995410085).

Almost surely, 2^{1457348405688} is an apocalyptic number.

1457348405688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1457348405688 is an abundant number, since it is smaller than the sum of its proper divisors (3054210962472).

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

1457348405688 is a wasteful number, since it uses less digits than its factorization.

1457348405688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460957 (or 460950 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 1457348405688 in words is "one trillion, four hundred fifty-seven billion, three hundred forty-eight million, four hundred five thousand, six hundred eighty-eight".