46057601664648 has 384 divisors, whose sum is σ = 144788523909120. Its totient is φ = 12955403865600.

The previous prime is 46057601664631. The next prime is 46057601664653. The reversal of 46057601664648 is 84646610675064.

It is a happy number.

46057601664648 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 7 + 6 + 0 + 166 + 464 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 6873239698 + ... + 6873246398.

It is an arithmetic number, because the mean of its divisors is an integer number (377053447680).

Almost surely, 2^{46057601664648} 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 46057601664648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394261954560).

46057601664648 is an abundant number, since it is smaller than the sum of its proper divisors (98730922244472).

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

46057601664648 is a wasteful number, since it uses less digits than its factorization.

46057601664648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 46057601664648 in words is "forty-six trillion, fifty-seven billion, six hundred one million, six hundred sixty-four thousand, six hundred forty-eight".