200857542144 has 160 divisors (see below), whose sum is σ = 613124328960. Its totient is φ = 57239150592.

The previous prime is 200857542101. The next prime is 200857542187. The reversal of 200857542144 is 441245758002.

It is an interprime number because it is at equal distance from previous prime (200857542101) and next prime (200857542187).

It is a super-2 number, since 2×200857542144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 200857542096 and 200857542105.

It is a congruent number.

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, 4158517 + ... + 4206539.

It is an arithmetic number, because the mean of its divisors is an integer number (3832027056).

Almost surely, 2^200857542144 is an apocalyptic number.

200857542144 is a gapful number since it is divisible by the number (24) 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 200857542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306562164480).

200857542144 is an abundant number, since it is smaller than the sum of its proper divisors (412266786816).

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

200857542144 is an equidigital number, since it uses as much as digits as its factorization.

200857542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48440 (or 48424 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 200857542144 in words is "two hundred billion, eight hundred fifty-seven million, five hundred forty-two thousand, one hundred forty-four".