46192381893120 has 160 divisors (see below), whose sum is σ = 147871114839360. Its totient is φ = 12301298565120.

The previous prime is 46192381893109. The next prime is 46192381893131. The reversal of 46192381893120 is 2139818329164.

It is an interprime number because it is at equal distance from previous prime (46192381893109) and next prime (46192381893131).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×46192381893120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606080 + ... + 9744960.

It is an arithmetic number, because the mean of its divisors is an integer number (924194467746).

Almost surely, 2^{46192381893120} is an apocalyptic number.

46192381893120 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 46192381893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73935557419680).

46192381893120 is an abundant number, since it is smaller than the sum of its proper divisors (101678732946240).

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

46192381893120 is an equidigital number, since it uses as much as digits as its factorization.

46192381893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8139646 (or 8139630 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 46192381893120 in words is "forty-six trillion, one hundred ninety-two billion, three hundred eighty-one million, eight hundred ninety-three thousand, one hundred twenty".