46742281267392 has 224 divisors, whose sum is σ = 139143410165760. Its totient is φ = 15577031441664.

The previous prime is 46742281267387. The next prime is 46742281267519. The reversal of 46742281267392 is 29376218224764.

46742281267392 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 2 + 281 + 267 + 3 + 92 = 666.

It is a super-3 number, since 3×46742281267392³ (a number of 42 digits) contains 333 as substring.

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, 619040713 + ... + 619116215.

It is an arithmetic number, because the mean of its divisors is an integer number (621175938240).

Almost surely, 2^{46742281267392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46742281267392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69571705082880).

46742281267392 is an abundant number, since it is smaller than the sum of its proper divisors (92401128898368).

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

46742281267392 is an frugal number, since it uses more digits than its factorization.

46742281267392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79959 (or 79931 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 46742281267392 in words is "forty-six trillion, seven hundred forty-two billion, two hundred eighty-one million, two hundred sixty-seven thousand, three hundred ninety-two".