1020146972598 has 144 divisors (see below), whose sum is σ = 2519618276448. Its totient is φ = 296354246400.

The previous prime is 1020146972569. The next prime is 1020146972641. The reversal of 1020146972598 is 8952796410201.

It is a happy number.

1020146972598 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 46 + 9 + 7 + 2 + 598 = 666.

It is a super-3 number, since 3×1020146972598³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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, 9164511 + ... + 9275157.

It is an arithmetic number, because the mean of its divisors is an integer number (17497349142).

Almost surely, 2^{1020146972598} is an apocalyptic number.

1020146972598 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020146972598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259809138224).

1020146972598 is an abundant number, since it is smaller than the sum of its proper divisors (1499471303850).

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

1020146972598 is a wasteful number, since it uses less digits than its factorization.

1020146972598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110771 (or 110737 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1020146972598 in words is "one trillion, twenty billion, one hundred forty-six million, nine hundred seventy-two thousand, five hundred ninety-eight".