46880243200 has 480 divisors, whose sum is σ = 138826828800. Its totient is φ = 15354593280.

The previous prime is 46880243131. The next prime is 46880243213. The reversal of 46880243200 is 234208864.

It is a super-2 number, since 2×46880243200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 46880243200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261900711 + ... + 261900889.

It is an arithmetic number, because the mean of its divisors is an integer number (289222560).

Almost surely, 2^46880243200 is an apocalyptic number.

46880243200 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 46880243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69413414400).

46880243200 is an abundant number, since it is smaller than the sum of its proper divisors (91946585600).

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

46880243200 is a wasteful number, since it uses less digits than its factorization.

46880243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 46880243200 in words is "forty-six billion, eight hundred eighty million, two hundred forty-three thousand, two hundred".