46385961600 has 768 divisors, whose sum is σ = 178792128000. Its totient is φ = 10450944000.

The previous prime is 46385961553. The next prime is 46385961607. The reversal of 46385961600 is 616958364.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46385961600.

It is not an unprimeable number, because it can be changed into a prime (46385961607) 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, 122390211 + ... + 122390589.

It is an arithmetic number, because the mean of its divisors is an integer number (232802250).

Almost surely, 2^46385961600 is an apocalyptic number.

46385961600 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 46385961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89396064000).

46385961600 is an abundant number, since it is smaller than the sum of its proper divisors (132406166400).

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

46385961600 is a wasteful number, since it uses less digits than its factorization.

46385961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 46385961600 in words is "forty-six billion, three hundred eighty-five million, nine hundred sixty-one thousand, six hundred".