6134143097376 has 432 divisors, whose sum is σ = 22151098438560. Its totient is φ = 1660367600640.

The previous prime is 6134143097353. The next prime is 6134143097387. The reversal of 6134143097376 is 6737903414316.

6134143097376 is a `hidden beast` number, since 6 + 13 + 41 + 430 + 97 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6815796 + ... + 7663116.

It is an arithmetic number, because the mean of its divisors is an integer number (51275690830).

Almost surely, 2^{6134143097376} 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 6134143097376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075549219280).

6134143097376 is an abundant number, since it is smaller than the sum of its proper divisors (16016955341184).

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

6134143097376 is a wasteful number, since it uses less digits than its factorization.

6134143097376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847379 (or 847352 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 6134143097376 in words is "six trillion, one hundred thirty-four billion, one hundred forty-three million, ninety-seven thousand, three hundred seventy-six".