1457316465948 has 240 divisors, whose sum is σ = 4617750111744. Its totient is φ = 391742904960.

The previous prime is 1457316465923. The next prime is 1457316465977. The reversal of 1457316465948 is 8495646137541.

1457316465948 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 31 + 6 + 4 + 6 + 594 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2953011 + ... + 3410997.

Almost surely, 2^{1457316465948} is an apocalyptic number.

1457316465948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457316465948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308875055872).

1457316465948 is an abundant number, since it is smaller than the sum of its proper divisors (3160433645796).

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

1457316465948 is a wasteful number, since it uses less digits than its factorization.

1457316465948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458094 (or 458083 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 1457316465948 in words is "one trillion, four hundred fifty-seven billion, three hundred sixteen million, four hundred sixty-five thousand, nine hundred forty-eight".