38361544655616 has 1008 divisors, whose sum is σ = 142023909350400. Its totient is φ = 10065602764800.

The previous prime is 38361544655573. The next prime is 38361544655689. The reversal of 38361544655616 is 61655644516383.

38361544655616 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 1 + 5 + 4 + 4 + 6 + 5 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3379568341 + ... + 3379579691.

Almost surely, 2^{38361544655616} is an apocalyptic number.

38361544655616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38361544655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71011954675200).

38361544655616 is an abundant number, since it is smaller than the sum of its proper divisors (103662364694784).

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

38361544655616 is a wasteful number, since it uses less digits than its factorization.

38361544655616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11604 (or 11575 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 38361544655616 in words is "thirty-eight trillion, three hundred sixty-one billion, five hundred forty-four million, six hundred fifty-five thousand, six hundred sixteen".