98167469400 has 1728 divisors, whose sum is σ = 463570329600. Its totient is φ = 18681062400.

The previous prime is 98167469377. The next prime is 98167469401. The reversal of 98167469400 is 496476189.

98167469400 is a `hidden beast` number, since 9 + 81 + 67 + 469 + 40 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98167469401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 772972137 + ... + 772972263.

Almost surely, 2^98167469400 is an apocalyptic number.

98167469400 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 98167469400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231785164800).

98167469400 is an abundant number, since it is smaller than the sum of its proper divisors (365402860200).

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

98167469400 is a wasteful number, since it uses less digits than its factorization.

98167469400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 98167469400 in words is "ninety-eight billion, one hundred sixty-seven million, four hundred sixty-nine thousand, four hundred".