38401148411802 has 96 divisors (see below), whose sum is σ = 93067965169920. Its totient is φ = 11344429848960.

The previous prime is 38401148411771. The next prime is 38401148411803. The reversal of 38401148411802 is 20811484110483.

38401148411802 is a `hidden beast` number, since 3 + 8 + 40 + 11 + 484 + 118 + 0 + 2 = 666.

It is a super-3 number, since 3×38401148411802³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38401148411803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10006402 + ... + 13301517.

It is an arithmetic number, because the mean of its divisors is an integer number (969457970520).

Almost surely, 2^{38401148411802} is an apocalyptic number.

38401148411802 is an abundant number, since it is smaller than the sum of its proper divisors (54666816758118).

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

38401148411802 is a wasteful number, since it uses less digits than its factorization.

38401148411802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23308148 (or 23308145 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 38401148411802 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-eight million, four hundred eleven thousand, eight hundred two".