46958366000 has 960 divisors, whose sum is σ = 155600040960. Its totient is φ = 13547520000.

The previous prime is 46958365997. The next prime is 46958366023. The reversal of 46958366000 is 66385964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1145325980 + ... + 1145326020.

It is an arithmetic number, because the mean of its divisors is an integer number (162083376).

Almost surely, 2^46958366000 is an apocalyptic number.

46958366000 is a gapful number since it is divisible by the number (40) 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 46958366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77800020480).

46958366000 is an abundant number, since it is smaller than the sum of its proper divisors (108641674960).

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

46958366000 is a wasteful number, since it uses less digits than its factorization.

46958366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 46958366000 in words is "forty-six billion, nine hundred fifty-eight million, three hundred sixty-six thousand".