1457805100816 has 45 divisors (see below), whose sum is σ = 2844749625543. Its totient is φ = 723713162400.

The previous prime is 1457805100781. The next prime is 1457805100837. The reversal of 1457805100816 is 6180015087541.

The square root of 1457805100816 is 1207396.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 729266185 + ... + 729268183.

Almost surely, 2^{1457805100816} is an apocalyptic number.

1457805100816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1457805100816 is the 1207396-th square number.

It is an amenable number.

1457805100816 is a deficient number, since it is larger than the sum of its proper divisors (1386944524727).

1457805100816 is an frugal number, since it uses more digits than its factorization.

1457805100816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 46.

The spelling of 1457805100816 in words is "one trillion, four hundred fifty-seven billion, eight hundred five million, one hundred thousand, eight hundred sixteen".