46945422720 has 768 divisors, whose sum is σ = 198887270400. Its totient is φ = 10353401856.

The previous prime is 46945422697. The next prime is 46945422721. The reversal of 46945422720 is 2722454964.

46945422720 is a `hidden beast` number, since 4 + 69 + 4 + 542 + 27 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46945422721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31569817 + ... + 31571303.

It is an arithmetic number, because the mean of its divisors is an integer number (258967800).

Almost surely, 2^46945422720 is an apocalyptic number.

46945422720 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 46945422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99443635200).

46945422720 is an abundant number, since it is smaller than the sum of its proper divisors (151941847680).

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

46945422720 is a wasteful number, since it uses less digits than its factorization.

46945422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 46945422720 in words is "forty-six billion, nine hundred forty-five million, four hundred twenty-two thousand, seven hundred twenty".