20354150354688 has 432 divisors, whose sum is σ = 62587518739200. Its totient is φ = 6594675056640.

The previous prime is 20354150354687. The next prime is 20354150354693. The reversal of 20354150354688 is 88645305145302.

20354150354688 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 4 + 1 + 503 + 54 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×20354150354688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354150354687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326623053 + ... + 326685363.

It is an arithmetic number, because the mean of its divisors is an integer number (144878515600).

Almost surely, 2^{20354150354688} 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 20354150354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31293759369600).

20354150354688 is an abundant number, since it is smaller than the sum of its proper divisors (42233368384512).

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

20354150354688 is an frugal number, since it uses more digits than its factorization.

20354150354688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62490 (or 62464 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 20354150354688 in words is "twenty trillion, three hundred fifty-four billion, one hundred fifty million, three hundred fifty-four thousand, six hundred eighty-eight".