38649118248000 has 2240 divisors, whose sum is σ = 165315226684608. Its totient is φ = 8828957491200.

The previous prime is 38649118247981. The next prime is 38649118248001. The reversal of 38649118248000 is 84281194683.

It is a happy number.

38649118248000 is a `hidden beast` number, since 3 + 8 + 6 + 49 + 118 + 2 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 38433651462144 + 215466785856 = 6199488^2 + 464184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38649118248001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10454182152 + ... + 10454185848.

Almost surely, 2^{38649118248000} is an apocalyptic number.

38649118248000 is a gapful number since it is divisible by the number (30) 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 38649118248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82657613342304).

38649118248000 is an abundant number, since it is smaller than the sum of its proper divisors (126666108436608).

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

38649118248000 is a wasteful number, since it uses less digits than its factorization.

38649118248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 38649118248000 in words is "thirty-eight trillion, six hundred forty-nine billion, one hundred eighteen million, two hundred forty-eight thousand".