98246615040 has 1120 divisors, whose sum is σ = 418505700960. Its totient is φ = 21849440256.

The previous prime is 98246615029. The next prime is 98246615041. The reversal of 98246615040 is 4051664289.

98246615040 is a `hidden beast` number, since 9 + 8 + 24 + 6 + 615 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98246615041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2655313902 + ... + 2655313938.

Almost surely, 2^98246615040 is an apocalyptic number.

98246615040 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 98246615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209252850480).

98246615040 is an abundant number, since it is smaller than the sum of its proper divisors (320259085920).

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

98246615040 is an frugal number, since it uses more digits than its factorization.

98246615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 98246615040 in words is "ninety-eight billion, two hundred forty-six million, six hundred fifteen thousand, forty".