1516601341404 has 192 divisors, whose sum is σ = 4229514132480. Its totient is φ = 468276940800.

The previous prime is 1516601341403. The next prime is 1516601341471. The reversal of 1516601341404 is 4041431066151.

1516601341404 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 601 + 3 + 4 + 1 + 40 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516601341403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30800004 + ... + 30849204.

It is an arithmetic number, because the mean of its divisors is an integer number (22028719440).

Almost surely, 2^{1516601341404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516601341404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114757066240).

1516601341404 is an abundant number, since it is smaller than the sum of its proper divisors (2712912791076).

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

1516601341404 is a wasteful number, since it uses less digits than its factorization.

1516601341404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49497 (or 49489 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1516601341404 in words is "one trillion, five hundred sixteen billion, six hundred one million, three hundred forty-one thousand, four hundred four".