1098374172480 has 672 divisors, whose sum is σ = 4316502887424. Its totient is φ = 253956390912.

The previous prime is 1098374172479. The next prime is 1098374172491. The reversal of 1098374172480 is 842714738901.

1098374172480 is a `hidden beast` number, since 1 + 0 + 9 + 83 + 74 + 17 + 2 + 480 = 666.

It is a super-2 number, since 2×1098374172480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386341939 + ... + 386344781.

It is an arithmetic number, because the mean of its divisors is an integer number (6423367392).

Almost surely, 2^{1098374172480} is an apocalyptic number.

1098374172480 is a gapful number since it is divisible by the number (10) 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 1098374172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158251443712).

1098374172480 is an abundant number, since it is smaller than the sum of its proper divisors (3218128714944).

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

1098374172480 is a wasteful number, since it uses less digits than its factorization.

1098374172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1098374172480 in words is "one trillion, ninety-eight billion, three hundred seventy-four million, one hundred seventy-two thousand, four hundred eighty".