9851500464100 has 243 divisors, whose sum is σ = 23386460516433. Its totient is φ = 3601330744320.

The previous prime is 9851500464079. The next prime is 9851500464101. The reversal of 9851500464100 is 14640051589.

The square root of 9851500464100 is 3138710.

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

It can be written as a sum of positive squares in 13 ways, for example, as 304586987236 + 9546913476864 = 551894^2 + 3089808^2 .

It is a super-2 number, since 2×9851500464100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9851500464101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19742485651 + ... + 19742486149.

Almost surely, 2^{9851500464100} is an apocalyptic number.

9851500464100 is the 3138710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9851500464100

9851500464100 is an abundant number, since it is smaller than the sum of its proper divisors (13534960052333).

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

9851500464100 is a wasteful number, since it uses less digits than its factorization.

9851500464100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 9851500464100 in words is "nine trillion, eight hundred fifty-one billion, five hundred million, four hundred sixty-four thousand, one hundred".