49671036900 has 729 divisors, whose sum is σ = 182470040571. Its totient is φ = 11296834560.

The previous prime is 49671036859. The next prime is 49671036901. The reversal of 49671036900 is 963017694.

The square root of 49671036900 is 222870.

It is a perfect power (a square), and thus also a powerful number.

49671036900 is a `hidden beast` number, since 496 + 71 + 0 + 3 + 6 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1161855396 + 48509181504 = 34086^2 + 220248^2 .

It is a super-2 number, since 2×49671036900² (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 not an unprimeable number, because it can be changed into a prime (49671036901) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2159610289 + ... + 2159610311.

Almost surely, 2^49671036900 is an apocalyptic number.

49671036900 is the 222870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49671036900

49671036900 is an abundant number, since it is smaller than the sum of its proper divisors (132799003671).

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

49671036900 is a wasteful number, since it uses less digits than its factorization.

49671036900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 49671036900 in words is "forty-nine billion, six hundred seventy-one million, thirty-six thousand, nine hundred".