1351972480194 has 480 divisors, whose sum is σ = 3829265161920. Its totient is φ = 355699838592.

The previous prime is 1351972480171. The next prime is 1351972480247. The reversal of 1351972480194 is 4910842791531.

1351972480194 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 9 + 72 + 480 + 1 + 94 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1351972480194.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1356040104 + ... + 1356041100.

It is an arithmetic number, because the mean of its divisors is an integer number (7977635754).

Almost surely, 2^{1351972480194} is an apocalyptic number.

1351972480194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351972480194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914632580960).

1351972480194 is an abundant number, since it is smaller than the sum of its proper divisors (2477292681726).

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

1351972480194 is an frugal number, since it uses more digits than its factorization.

1351972480194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1351972480194 in words is "one trillion, three hundred fifty-one billion, nine hundred seventy-two million, four hundred eighty thousand, one hundred ninety-four".