46649475600 has 720 divisors, whose sum is σ = 195908568192. Its totient is φ = 9258762240.

The previous prime is 46649475553. The next prime is 46649475619. The reversal of 46649475600 is 657494664.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24132234 + ... + 24134166.

Almost surely, 2^46649475600 is an apocalyptic number.

46649475600 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 46649475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97954284096).

46649475600 is an abundant number, since it is smaller than the sum of its proper divisors (149259092592).

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

46649475600 is a wasteful number, since it uses less digits than its factorization.

46649475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 46649475600 in words is "forty-six billion, six hundred forty-nine million, four hundred seventy-five thousand, six hundred".