46958890000 has 225 divisors, whose sum is σ = 125604997441. Its totient is φ = 16989280000.

The previous prime is 46958889977. The next prime is 46958890031. The reversal of 46958890000 is 9885964.

It is a happy number.

The square root of 46958890000 is 216700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8033178384 + 38925711616 = 89628^2 + 197296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 238369902 + ... + 238370098.

Almost surely, 2^46958890000 is an apocalyptic number.

46958890000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46958890000 is the 216700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46958890000

46958890000 is an abundant number, since it is smaller than the sum of its proper divisors (78646107441).

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

46958890000 is an equidigital number, since it uses as much as digits as its factorization.

46958890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 46958890000 by its sum of digits (49), we get a square (2300985610000 = 1516900²).

The spelling of 46958890000 in words is "forty-six billion, nine hundred fifty-eight million, eight hundred ninety thousand".