46891008000 has 608 divisors, whose sum is σ = 176663747520. Its totient is φ = 12268339200.

The previous prime is 46891007927. The next prime is 46891008007. The reversal of 46891008000 is 80019864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46891008007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884735974 + ... + 884736026.

Almost surely, 2^46891008000 is an apocalyptic number.

46891008000 is a gapful number since it is divisible by the number (40) 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 46891008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88331873760).

46891008000 is an abundant number, since it is smaller than the sum of its proper divisors (129772739520).

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

46891008000 is an frugal number, since it uses more digits than its factorization.

46891008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 46891008000 in words is "forty-six billion, eight hundred ninety-one million, eight thousand".