49723146900 has 324 divisors, whose sum is σ = 182135405088. Its totient is φ = 11312945280.

The previous prime is 49723146887. The next prime is 49723146931. The reversal of 49723146900 is 964132794.

It is a happy number.

49723146900 is a `hidden beast` number, since 497 + 2 + 31 + 46 + 90 + 0 = 666.

It is a super-2 number, since 2×49723146900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 10008217 + ... + 10013183.

It is an arithmetic number, because the mean of its divisors is an integer number (562146312).

Almost surely, 2^49723146900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49723146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91067702544).

49723146900 is an abundant number, since it is smaller than the sum of its proper divisors (132412258188).

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

49723146900 is a wasteful number, since it uses less digits than its factorization.

49723146900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 49723146900 in words is "forty-nine billion, seven hundred twenty-three million, one hundred forty-six thousand, nine hundred".