6931142148420 has 288 divisors, whose sum is σ = 26404352956800. Its totient is φ = 1500878792448.

The previous prime is 6931142148409. The next prime is 6931142148461. The reversal of 6931142148420 is 248412411396.

6931142148420 is a `hidden beast` number, since 6 + 9 + 3 + 1 + 1 + 4 + 214 + 8 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6390627 + ... + 7396106.

It is an arithmetic number, because the mean of its divisors is an integer number (91681781100).

Almost surely, 2^{6931142148420} is an apocalyptic number.

6931142148420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6931142148420 is an abundant number, since it is smaller than the sum of its proper divisors (19473210808380).

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

6931142148420 is a wasteful number, since it uses less digits than its factorization.

6931142148420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13786784 (or 13786769 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 6931142148420 in words is "six trillion, nine hundred thirty-one billion, one hundred forty-two million, one hundred forty-eight thousand, four hundred twenty".