98949251773440 has 704 divisors, whose sum is σ = 362661669765120. Its totient is φ = 25569697628160.

The previous prime is 98949251773417. The next prime is 98949251773447. The reversal of 98949251773440 is 4437715294989.

98949251773440 is a `hidden beast` number, since 9 + 8 + 9 + 4 + 9 + 2 + 5 + 177 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98949251773447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754863105 + ... + 754994175.

It is an arithmetic number, because the mean of its divisors is an integer number (515144417280).

Almost surely, 2^{98949251773440} is an apocalyptic number.

98949251773440 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 98949251773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181330834882560).

98949251773440 is an abundant number, since it is smaller than the sum of its proper divisors (263712417991680).

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

98949251773440 is a wasteful number, since it uses less digits than its factorization.

98949251773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131275 (or 131251 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 98949251773440 in words is "ninety-eight trillion, nine hundred forty-nine billion, two hundred fifty-one million, seven hundred seventy-three thousand, four hundred forty".