98551737648 has 360 divisors, whose sum is σ = 347113127088. Its totient is φ = 25871698944.

The previous prime is 98551737637. The next prime is 98551737667. The reversal of 98551737648 is 84673715589.

98551737648 is a `hidden beast` number, since 9 + 8 + 5 + 517 + 3 + 76 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20819890 + ... + 20824622.

Almost surely, 2^98551737648 is an apocalyptic number.

98551737648 is a gapful number since it is divisible by the number (98) 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 98551737648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173556563544).

98551737648 is an abundant number, since it is smaller than the sum of its proper divisors (248561389440).

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

98551737648 is a wasteful number, since it uses less digits than its factorization.

98551737648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4985 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

It can be divided in two parts, 985517 and 37648, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 98551737648 in words is "ninety-eight billion, five hundred fifty-one million, seven hundred thirty-seven thousand, six hundred forty-eight".