220145336631000 has 768 divisors, whose sum is σ = 846118553080320. Its totient is φ = 51151098240000.

The previous prime is 220145336630969. The next prime is 220145336631061. The reversal of 220145336631000 is 136633541022.

220145336631000 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 4 + 5 + 336 + 6 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×220145336631000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244972495 + ... + 245869505.

It is an arithmetic number, because the mean of its divisors is an integer number (1101716865990).

Almost surely, 2^{220145336631000} is an apocalyptic number.

220145336631000 is a gapful number since it is divisible by the number (20) 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 220145336631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423059276540160).

220145336631000 is an abundant number, since it is smaller than the sum of its proper divisors (625973216449320).

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

220145336631000 is a wasteful number, since it uses less digits than its factorization.

220145336631000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897153 (or 897136 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 220145336631000 in words is "two hundred twenty trillion, one hundred forty-five billion, three hundred thirty-six million, six hundred thirty-one thousand".