898223742501120 has 4608 divisors, whose sum is σ = 4079235872194560. Its totient is φ = 182449833246720.

The previous prime is 898223742501109. The next prime is 898223742501139. The reversal of 898223742501120 is 21105247322898.

It is a happy number.

898223742501120 is a `hidden beast` number, since 8 + 9 + 8 + 2 + 2 + 3 + 7 + 4 + 2 + 501 + 120 = 666.

It is a super-3 number, since 3×898223742501120³ (a number of 46 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2074419728424 + ... + 2074419728856.

It is an arithmetic number, because the mean of its divisors is an integer number (885250840320).

Almost surely, 2^{898223742501120} is an apocalyptic number.

898223742501120 is a gapful number since it is divisible by the number (80) 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 898223742501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039617936097280).

898223742501120 is an abundant number, since it is smaller than the sum of its proper divisors (3181012129693440).

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

898223742501120 is a wasteful number, since it uses less digits than its factorization.

898223742501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 898223742501120 in words is "eight hundred ninety-eight trillion, two hundred twenty-three billion, seven hundred forty-two million, five hundred one thousand, one hundred twenty".