457152880968 has 1152 divisors, whose sum is σ = 1652085227520. Its totient is φ = 117690693120.

The previous prime is 457152880949. The next prime is 457152881011. The reversal of 457152880968 is 869088251754.

457152880968 is a `hidden beast` number, since 4 + 571 + 52 + 8 + 8 + 0 + 9 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3599628921 + ... + 3599629047.

It is an arithmetic number, because the mean of its divisors is an integer number (1434101760).

Almost surely, 2^457152880968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457152880968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826042613760).

457152880968 is an abundant number, since it is smaller than the sum of its proper divisors (1194932346552).

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

457152880968 is a wasteful number, since it uses less digits than its factorization.

457152880968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 457152880968 in words is "four hundred fifty-seven billion, one hundred fifty-two million, eight hundred eighty thousand, nine hundred sixty-eight".