46896669864 has 288 divisors, whose sum is σ = 142215091200. Its totient is φ = 13948704000.

The previous prime is 46896669823. The next prime is 46896669871.

46896669864 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×46896669864³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46896669792 and 46896669801.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196220257 + ... + 196220495.

It is an arithmetic number, because the mean of its divisors is an integer number (493802400).

Almost surely, 2^46896669864 is an apocalyptic number.

46896669864 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 46896669864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71107545600).

46896669864 is an abundant number, since it is smaller than the sum of its proper divisors (95318421336).

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

46896669864 is a wasteful number, since it uses less digits than its factorization.

46896669864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 579 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 46896669864 in words is "forty-six billion, eight hundred ninety-six million, six hundred sixty-nine thousand, eight hundred sixty-four".