46227118080000 has 2400 divisors, whose sum is σ = 191920418807040. Its totient is φ = 9720299520000.

The previous prime is 46227118079941. The next prime is 46227118080001. The reversal of 46227118080000 is 8081172264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46227118080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74680319691 + ... + 74680320309.

Almost surely, 2^{46227118080000} is an apocalyptic number.

46227118080000 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 46227118080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95960209403520).

46227118080000 is an abundant number, since it is smaller than the sum of its proper divisors (145693300727040).

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

46227118080000 is a wasteful number, since it uses less digits than its factorization.

46227118080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 46227118080000 in words is "forty-six trillion, two hundred twenty-seven billion, one hundred eighteen million, eighty thousand".