949031225100 has 216 divisors, whose sum is σ = 3400725339648. Its totient is φ = 216852220800.

The previous prime is 949031225099. The next prime is 949031225113. The reversal of 949031225100 is 1522130949.

949031225100 is a `hidden beast` number, since 9 + 4 + 90 + 31 + 22 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21214957 + ... + 21259643.

Almost surely, 2^949031225100 is an apocalyptic number.

949031225100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949031225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700362669824).

949031225100 is an abundant number, since it is smaller than the sum of its proper divisors (2451694114548).

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

949031225100 is a wasteful number, since it uses less digits than its factorization.

949031225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48085 (or 48075 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 949031225100 in words is "nine hundred forty-nine billion, thirty-one million, two hundred twenty-five thousand, one hundred".