1834628986512 has 360 divisors, whose sum is σ = 6189026912640. Its totient is φ = 505502000640.

The previous prime is 1834628986501. The next prime is 1834628986549. The reversal of 1834628986512 is 2156898264381.

1834628986512 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 6 + 28 + 98 + 6 + 512 = 666.

It is a super-2 number, since 2×1834628986512² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1834628986512.

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, 23930962 + ... + 24007502.

It is an arithmetic number, because the mean of its divisors is an integer number (17191741424).

Almost surely, 2^{1834628986512} is an apocalyptic number.

1834628986512 is a gapful number since it is divisible by the number (12) 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 1834628986512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094513456320).

1834628986512 is an abundant number, since it is smaller than the sum of its proper divisors (4354397926128).

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

1834628986512 is a wasteful number, since it uses less digits than its factorization.

1834628986512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76691 (or 76675 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 1834628986512 in words is "one trillion, eight hundred thirty-four billion, six hundred twenty-eight million, nine hundred eighty-six thousand, five hundred twelve".