46072755727064 has 64 divisors (see below), whose sum is σ = 99832866249600. Its totient is φ = 19700467315200.

The previous prime is 46072755727039. The next prime is 46072755727069.

46072755727064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46072755727064² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46072755726988 and 46072755727006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46072755727069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4648754 + ... + 10665665.

It is an arithmetic number, because the mean of its divisors is an integer number (1559888535150).

Almost surely, 2^{46072755727064} is an apocalyptic number.

46072755727064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46072755727064 is an abundant number, since it is smaller than the sum of its proper divisors (53760110522536).

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

46072755727064 is a wasteful number, since it uses less digits than its factorization.

46072755727064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316464 (or 15316460 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 62.

The spelling of 46072755727064 in words is "forty-six trillion, seventy-two billion, seven hundred fifty-five million, seven hundred twenty-seven thousand, sixty-four".