46883553600 has 672 divisors, whose sum is σ = 172169230464. Its totient is φ = 11096064000.

The previous prime is 46883553593. The next prime is 46883553601. The reversal of 46883553600 is 635538864.

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 46883553600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46883553601) 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, 271003114 + ... + 271003286.

It is an arithmetic number, because the mean of its divisors is an integer number (256204212).

Almost surely, 2^46883553600 is an apocalyptic number.

46883553600 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 46883553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86084615232).

46883553600 is an abundant number, since it is smaller than the sum of its proper divisors (125285676864).

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

46883553600 is a wasteful number, since it uses less digits than its factorization.

46883553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 46883553600 in words is "forty-six billion, eight hundred eighty-three million, five hundred fifty-three thousand, six hundred".