46889999998864 has 80 divisors (see below), whose sum is σ = 99413784003456. Its totient is φ = 21247978752000.

The previous prime is 46889999998861. The next prime is 46889999998889.

46889999998864 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46889999998861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587208189 + ... + 587288035.

Almost surely, 2^{46889999998864} is an apocalyptic number.

46889999998864 is a gapful number since it is divisible by the number (44) 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 46889999998864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49706892001728).

46889999998864 is an abundant number, since it is smaller than the sum of its proper divisors (52523784004592).

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

46889999998864 is a wasteful number, since it uses less digits than its factorization.

46889999998864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90104 (or 90098 counting only the distinct ones).

The product of its digits is 1253826625536, while the sum is 106.

The spelling of 46889999998864 in words is "forty-six trillion, eight hundred eighty-nine billion, nine hundred ninety-nine million, nine hundred ninety-eight thousand, eight hundred sixty-four".