220954053543048 has 384 divisors, whose sum is σ = 735314351616000. Its totient is φ = 58526906296320.

The previous prime is 220954053542993. The next prime is 220954053543061. The reversal of 220954053543048 is 840345350459022.

220954053543048 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 5 + 4 + 0 + 53 + 543 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220954053542985 and 220954053543003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3951154128 + ... + 3951210048.

It is an arithmetic number, because the mean of its divisors is an integer number (1914881124000).

Almost surely, 2^{220954053543048} is an apocalyptic number.

220954053543048 is a gapful number since it is divisible by the number (28) 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 220954053543048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367657175808000).

220954053543048 is an abundant number, since it is smaller than the sum of its proper divisors (514360298072952).

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

220954053543048 is a wasteful number, since it uses less digits than its factorization.

220954053543048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64785 (or 64778 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 220954053543048 in words is "two hundred twenty trillion, nine hundred fifty-four billion, fifty-three million, five hundred forty-three thousand, forty-eight".