49121974900 has 72 divisors (see below), whose sum is σ = 112620152960. Its totient is φ = 18545760000.

The previous prime is 49121974883. The next prime is 49121974907. The reversal of 49121974900 is 947912194.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49121974907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467200 + ... + 562600.

Almost surely, 2^49121974900 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 49121974900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56310076480).

49121974900 is an abundant number, since it is smaller than the sum of its proper divisors (63498178060).

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

49121974900 is a wasteful number, since it uses less digits than its factorization.

49121974900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95705 (or 95698 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 49121974900 in words is "forty-nine billion, one hundred twenty-one million, nine hundred seventy-four thousand, nine hundred".