98061741000 has 192 divisors, whose sum is σ = 334492844400. Its totient is φ = 25909632000.

The previous prime is 98061740971. The next prime is 98061741007. The reversal of 98061741000 is 14716089.

It can be written as a sum of positive squares in 8 ways, for example, as 2421230436 + 95640510564 = 49206^2 + 309258^2 .

It is a super-2 number, since 2×98061741000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98061741007) 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, 931020 + ... + 1030980.

Almost surely, 2^98061741000 is an apocalyptic number.

98061741000 is a gapful number since it is divisible by the number (90) 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 98061741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167246422200).

98061741000 is an abundant number, since it is smaller than the sum of its proper divisors (236431103400).

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

98061741000 is a wasteful number, since it uses less digits than its factorization.

98061741000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100097 (or 100080 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 98061741000 in words is "ninety-eight billion, sixty-one million, seven hundred forty-one thousand".