46862000900 has 288 divisors, whose sum is σ = 131241600000. Its totient is φ = 14252198400.

The previous prime is 46862000897. The next prime is 46862000917. The reversal of 46862000900 is 900026864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6245351 + ... + 6252849.

It is an arithmetic number, because the mean of its divisors is an integer number (455700000).

Almost surely, 2^46862000900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46862000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800000).

46862000900 is an abundant number, since it is smaller than the sum of its proper divisors (84379599100).

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

46862000900 is a wasteful number, since it uses less digits than its factorization.

46862000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 46862000900 in words is "forty-six billion, eight hundred sixty-two million, nine hundred", and thus it is an aban number.