6351246421536 has 192 divisors, whose sum is σ = 17325104670720. Its totient is φ = 2035912166400.

The previous prime is 6351246421529. The next prime is 6351246421537.

6351246421536 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6351246421536² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6351246421537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74587561 + ... + 74672663.

It is an arithmetic number, because the mean of its divisors is an integer number (90234920160).

Almost surely, 2^{6351246421536} 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 6351246421536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8662552335360).

6351246421536 is an abundant number, since it is smaller than the sum of its proper divisors (10973858249184).

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

6351246421536 is a wasteful number, since it uses less digits than its factorization.

6351246421536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85439 (or 85431 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 6351246421536 in words is "six trillion, three hundred fifty-one billion, two hundred forty-six million, four hundred twenty-one thousand, five hundred thirty-six".