46916496000 has 768 divisors, whose sum is σ = 190787425920. Its totient is φ = 11363328000.

The previous prime is 46916495999. The next prime is 46916496007. The reversal of 46916496000 is 69461964.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46916496007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42767452 + ... + 42768548.

Almost surely, 2^46916496000 is an apocalyptic number.

46916496000 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 46916496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95393712960).

46916496000 is an abundant number, since it is smaller than the sum of its proper divisors (143870929920).

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

46916496000 is a wasteful number, since it uses less digits than its factorization.

46916496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 46916496000 in words is "forty-six billion, nine hundred sixteen million, four hundred ninety-six thousand".