5046897040900 has 243 divisors, whose sum is σ = 13043416645119. Its totient is φ = 1692985008000.

The previous prime is 5046897040883. The next prime is 5046897040949. The reversal of 5046897040900 is 90407986405.

It is a happy number.

The square root of 5046897040900 is 2246530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1300845178116 + 3746051862784 = 1140546^2 + 1935472^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3212537115 + ... + 3212538685.

Almost surely, 2^{5046897040900} is an apocalyptic number.

5046897040900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5046897040900 is the 2246530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5046897040900

5046897040900 is an abundant number, since it is smaller than the sum of its proper divisors (7996519604219).

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

5046897040900 is a wasteful number, since it uses less digits than its factorization.

5046897040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 5046897040900 in words is "five trillion, forty-six billion, eight hundred ninety-seven million, forty thousand, nine hundred".