4646145921984 has 224 divisors, whose sum is σ = 15807666022400. Its totient is φ = 1310666572800.

The previous prime is 4646145921979. The next prime is 4646145922001. The reversal of 4646145921984 is 4891295416464.

4646145921984 is a `hidden beast` number, since 4 + 6 + 4 + 614 + 5 + 9 + 2 + 1 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1475467 + ... + 3386634.

It is an arithmetic number, because the mean of its divisors is an integer number (70569937600).

Almost surely, 2^{4646145921984} is an apocalyptic number.

It is an amenable number.

4646145921984 is an abundant number, since it is smaller than the sum of its proper divisors (11161520100416).

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

4646145921984 is a wasteful number, since it uses less digits than its factorization.

4646145921984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862208 (or 4862192 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 4646145921984 in words is "four trillion, six hundred forty-six billion, one hundred forty-five million, nine hundred twenty-one thousand, nine hundred eighty-four".