46769049600 has 936 divisors, whose sum is σ = 194523799680. Its totient is φ = 9826467840.

The previous prime is 46769049599. The next prime is 46769049601. The reversal of 46769049600 is 694096764.

It is an interprime number because it is at equal distance from previous prime (46769049599) and next prime (46769049601).

It is not an unprimeable number, because it can be changed into a prime (46769049601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 195686281 + ... + 195686519.

Almost surely, 2^46769049600 is an apocalyptic number.

46769049600 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 46769049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97261899840).

46769049600 is an abundant number, since it is smaller than the sum of its proper divisors (147754750080).

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

46769049600 is a wasteful number, since it uses less digits than its factorization.

46769049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 46769049600 in words is "forty-six billion, seven hundred sixty-nine million, forty-nine thousand, six hundred".