13920946578 has 96 divisors (see below), whose sum is σ = 38997504000. Its totient is φ = 3615820560.

The previous prime is 13920946537. The next prime is 13920946607. The reversal of 13920946578 is 87564902931.

13920946578 is a `hidden beast` number, since 1 + 3 + 9 + 20 + 9 + 46 + 578 = 666.

It is a super-3 number, since 3×13920946578³ (a number of 31 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 148578 + ... + 223421.

It is an arithmetic number, because the mean of its divisors is an integer number (406224000).

It is a 1-persistent number, because it is pandigital, but 2⋅13920946578 = 27841893156 is not.

Almost surely, 2^13920946578 is an apocalyptic number.

13920946578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13920946578 is an abundant number, since it is smaller than the sum of its proper divisors (25076557422).

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

13920946578 is a wasteful number, since it uses less digits than its factorization.

13920946578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372034 (or 372022 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13920946578 in words is "thirteen billion, nine hundred twenty million, nine hundred forty-six thousand, five hundred seventy-eight".