1882149705072 has 800 divisors, whose sum is σ = 6978077124480. Its totient is φ = 476354027520.

The previous prime is 1882149705019. The next prime is 1882149705097. The reversal of 1882149705072 is 2705079412881.

1882149705072 is a `hidden beast` number, since 1 + 8 + 8 + 21 + 49 + 70 + 507 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 591683322 + ... + 591686502.

Almost surely, 2^{1882149705072} is an apocalyptic number.

1882149705072 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 1882149705072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489038562240).

1882149705072 is an abundant number, since it is smaller than the sum of its proper divisors (5095927419408).

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

1882149705072 is a wasteful number, since it uses less digits than its factorization.

1882149705072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1882149705072 in words is "one trillion, eight hundred eighty-two billion, one hundred forty-nine million, seven hundred five thousand, seventy-two".