1829407733136 has 75 divisors (see below), whose sum is σ = 5294977666363. Its totient is φ = 609786347040.

The previous prime is 1829407733123. The next prime is 1829407733189. The reversal of 1829407733136 is 6313377049281.

The square root of 1829407733136 is 1352556.

It is a perfect power (a square), and thus also a powerful number.

1829407733136 is a `hidden beast` number, since 18 + 29 + 407 + 73 + 3 + 136 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48673231 + ... + 48710801.

Almost surely, 2^{1829407733136} is an apocalyptic number.

1829407733136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1829407733136 is the 1352556-th square number.

It is an amenable number.

1829407733136 is an abundant number, since it is smaller than the sum of its proper divisors (3465569933227).

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

1829407733136 is an frugal number, since it uses more digits than its factorization.

1829407733136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75162 (or 37576 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1829407733136 in words is "one trillion, eight hundred twenty-nine billion, four hundred seven million, seven hundred thirty-three thousand, one hundred thirty-six".