457535187648 has 336 divisors, whose sum is σ = 1645483916544. Its totient is φ = 118081566720.

The previous prime is 457535187647. The next prime is 457535187649. The reversal of 457535187648 is 846781535754.

It is a happy number.

457535187648 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 3 + 518 + 76 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (457535187647) and next prime (457535187649).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (457535187647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6930411 + ... + 6996117.

Almost surely, 2^457535187648 is an apocalyptic number.

457535187648 is a gapful number since it is divisible by the number (48) 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 457535187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822741958272).

457535187648 is an abundant number, since it is smaller than the sum of its proper divisors (1187948728896).

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

457535187648 is a wasteful number, since it uses less digits than its factorization.

457535187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65900 (or 65887 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 457535187648 in words is "four hundred fifty-seven billion, five hundred thirty-five million, one hundred eighty-seven thousand, six hundred forty-eight".