46205451960864 has 96 divisors (see below), whose sum is σ = 138618055296000. Its totient is φ = 13201395854592.

The previous prime is 46205451960809. The next prime is 46205451960893. The reversal of 46205451960864 is 46806915450264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×46205451960864³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46205451960798 and 46205451960807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61111597 + ... + 61863059.

It is an arithmetic number, because the mean of its divisors is an integer number (1443938076000).

Almost surely, 2^{46205451960864} is an apocalyptic number.

It is an amenable number.

46205451960864 is an abundant number, since it is smaller than the sum of its proper divisors (92412603335136).

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

46205451960864 is a wasteful number, since it uses less digits than its factorization.

46205451960864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842982 (or 842974 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 46205451960864 in words is "forty-six trillion, two hundred five billion, four hundred fifty-one million, nine hundred sixty thousand, eight hundred sixty-four".