46912225513920 has 448 divisors, whose sum is σ = 162009880704000. Its totient is φ = 11432461860864.

The previous prime is 46912225513891. The next prime is 46912225513969. The reversal of 46912225513920 is 2931552221964.

It is a happy number.

It is a super-2 number, since 2×46912225513920² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622726816 + ... + 622802144.

It is an arithmetic number, because the mean of its divisors is an integer number (361629198000).

Almost surely, 2^{46912225513920} is an apocalyptic number.

46912225513920 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 46912225513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81004940352000).

46912225513920 is an abundant number, since it is smaller than the sum of its proper divisors (115097655190080).

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

46912225513920 is a wasteful number, since it uses less digits than its factorization.

46912225513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75860 (or 75850 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 46912225513920 in words is "forty-six trillion, nine hundred twelve billion, two hundred twenty-five million, five hundred thirteen thousand, nine hundred twenty".