46965492000 has 1152 divisors, whose sum is σ = 212681064960. Its totient is φ = 9555148800.

The previous prime is 46965491959. The next prime is 46965492011. The reversal of 46965492000 is 29456964.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81395712 + ... + 81396288.

It is an arithmetic number, because the mean of its divisors is an integer number (184618980).

Almost surely, 2^46965492000 is an apocalyptic number.

46965492000 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 46965492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106340532480).

46965492000 is an abundant number, since it is smaller than the sum of its proper divisors (165715572960).

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

46965492000 is a wasteful number, since it uses less digits than its factorization.

46965492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 46965492000 in words is "forty-six billion, nine hundred sixty-five million, four hundred ninety-two thousand".