1457931952008 has 512 divisors, whose sum is σ = 5038387200000. Its totient is φ = 381194449920.

The previous prime is 1457931952007. The next prime is 1457931952013. The reversal of 1457931952008 is 8002591397541.

It is a happy number.

1457931952008 is a `hidden beast` number, since 1 + 4 + 579 + 3 + 19 + 52 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1457931952007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 631411558 + ... + 631413866.

It is an arithmetic number, because the mean of its divisors is an integer number (9840600000).

Almost surely, 2^{1457931952008} is an apocalyptic number.

1457931952008 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 1457931952008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519193600000).

1457931952008 is an abundant number, since it is smaller than the sum of its proper divisors (3580455247992).

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

1457931952008 is a wasteful number, since it uses less digits than its factorization.

1457931952008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1457931952008 in words is "one trillion, four hundred fifty-seven billion, nine hundred thirty-one million, nine hundred fifty-two thousand, eight".