46825700340320 has 192 divisors, whose sum is σ = 125082848298240. Its totient is φ = 16408927180800.

The previous prime is 46825700340319. The next prime is 46825700340347. The reversal of 46825700340320 is 2304300752864.

It is a super-2 number, since 2×46825700340320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25816835 + ... + 27571005.

It is an arithmetic number, because the mean of its divisors is an integer number (651473168220).

Almost surely, 2^{46825700340320} is an apocalyptic number.

46825700340320 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 46825700340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62541424149120).

46825700340320 is an abundant number, since it is smaller than the sum of its proper divisors (78257147957920).

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

46825700340320 is a wasteful number, since it uses less digits than its factorization.

46825700340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754749 (or 1754741 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 46825700340320 in words is "forty-six trillion, eight hundred twenty-five billion, seven hundred million, three hundred forty thousand, three hundred twenty".