1054347194000 has 80 divisors (see below), whose sum is σ = 2555646777840. Its totient is φ = 420707404800.

The previous prime is 1054347193967. The next prime is 1054347194059. The reversal of 1054347194000 is 4917434501.

It can be written as a sum of positive squares in 8 ways, for example, as 46628356096 + 1007718837904 = 215936^2 + 1003852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1054347194000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173534 + ... + 1462466.

It is an arithmetic number, because the mean of its divisors is an integer number (31945584723).

Almost surely, 2^{1054347194000} is an apocalyptic number.

1054347194000 is a gapful number since it is divisible by the number (10) 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 1054347194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277823388920).

1054347194000 is an abundant number, since it is smaller than the sum of its proper divisors (1501299583840).

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

1054347194000 is a wasteful number, since it uses less digits than its factorization.

1054347194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289365 (or 1289349 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 1054347194000 in words is "one trillion, fifty-four billion, three hundred forty-seven million, one hundred ninety-four thousand".