1052354104704 has 384 divisors, whose sum is σ = 3712829702400. Its totient is φ = 290302838784.

The previous prime is 1052354104699. The next prime is 1052354104741. The reversal of 1052354104704 is 4074014532501.

1052354104704 is a `hidden beast` number, since 1 + 0 + 5 + 235 + 410 + 4 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1052354104704² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6230779 + ... + 6397445.

It is an arithmetic number, because the mean of its divisors is an integer number (9668827350).

Almost surely, 2^{1052354104704} is an apocalyptic number.

1052354104704 is a gapful number since it is divisible by the number (14) 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 1052354104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856414851200).

1052354104704 is an abundant number, since it is smaller than the sum of its proper divisors (2660475597696).

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

1052354104704 is an equidigital number, since it uses as much as digits as its factorization.

1052354104704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166732 (or 166708 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 1052354104704 in words is "one trillion, fifty-two billion, three hundred fifty-four million, one hundred four thousand, seven hundred four".