1829113451550 has 1008 divisors, whose sum is σ = 6525333972432. Its totient is φ = 377017804800.

The previous prime is 1829113451509. The next prime is 1829113451563. The reversal of 1829113451550 is 551543119281.

1829113451550 is a `hidden beast` number, since 1 + 8 + 2 + 9 + 11 + 34 + 51 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1829113451496 and 1829113451505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 3084508054 + ... + 3084508646.

Almost surely, 2^{1829113451550} is an apocalyptic number.

1829113451550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1829113451550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262666986216).

1829113451550 is an abundant number, since it is smaller than the sum of its proper divisors (4696220520882).

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

1829113451550 is a wasteful number, since it uses less digits than its factorization.

1829113451550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 1829113451550 in words is "one trillion, eight hundred twenty-nine billion, one hundred thirteen million, four hundred fifty-one thousand, five hundred fifty".