67145908401 has 96 divisors (see below), whose sum is σ = 121293244800. Its totient is φ = 35186088960.

The previous prime is 67145908399. The next prime is 67145908409. The reversal of 67145908401 is 10480954176.

67145908401 is a `hidden beast` number, since 6 + 7 + 14 + 590 + 8 + 40 + 1 = 666.

It is not a de Polignac number, because 67145908401 - 2¹ = 67145908399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67145908409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2160891 + ... + 2191743.

It is an arithmetic number, because the mean of its divisors is an integer number (1263471300).

Almost surely, 2^67145908401 is an apocalyptic number.

It is an amenable number.

67145908401 is a deficient number, since it is larger than the sum of its proper divisors (54147336399).

67145908401 is a wasteful number, since it uses less digits than its factorization.

67145908401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30991 (or 30988 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 67145908401 in words is "sixty-seven billion, one hundred forty-five million, nine hundred eight thousand, four hundred one".