46101792079200 has 1152 divisors, whose sum is σ = 184548956110848. Its totient is φ = 9842918400000.

The previous prime is 46101792079159. The next prime is 46101792079207. The reversal of 46101792079200 is 297029710164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46101792079200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46101792079207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 755352685 + ... + 755413715.

It is an arithmetic number, because the mean of its divisors is an integer number (160198746624).

Almost surely, 2^{46101792079200} is an apocalyptic number.

46101792079200 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 46101792079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92274478055424).

46101792079200 is an abundant number, since it is smaller than the sum of its proper divisors (138447164031648).

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

46101792079200 is a wasteful number, since it uses less digits than its factorization.

46101792079200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61180 (or 61167 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 46101792079200 in words is "forty-six trillion, one hundred one billion, seven hundred ninety-two million, seventy-nine thousand, two hundred".