9458964900 has 1296 divisors, whose sum is σ = 42234296832. Its totient is φ = 1741824000.

The previous prime is 9458964899. The next prime is 9458964919. The reversal of 9458964900 is 94698549.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 255647682 + ... + 255647718.

It is an arithmetic number, because the mean of its divisors is an integer number (32588192).

Almost surely, 2^9458964900 is an apocalyptic number.

9458964900 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 9458964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117148416).

9458964900 is an abundant number, since it is smaller than the sum of its proper divisors (32775331932).

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

9458964900 is a wasteful number, since it uses less digits than its factorization.

9458964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9458964900 is about 97257.2100155048. The cubic root of 9458964900 is about 2114.8579620590.

The spelling of 9458964900 in words is "nine billion, four hundred fifty-eight million, nine hundred sixty-four thousand, nine hundred".