381067480553760 has 6912 divisors, whose sum is σ = 1957945167360000. Its totient is φ = 69159330938880.

The previous prime is 381067480553759. The next prime is 381067480553777. The reversal of 381067480553760 is 67355084760183.

It is a happy number.

381067480553760 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 6 + 7 + 4 + 8 + 0 + 553 + 76 + 0 = 666.

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 1151 ways as a sum of consecutive naturals, for example, 471035204236 + ... + 471035205044.

It is an arithmetic number, because the mean of its divisors is an integer number (283267530000).

Almost surely, 2^{381067480553760} is an apocalyptic number.

381067480553760 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 381067480553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978972583680000).

381067480553760 is an abundant number, since it is smaller than the sum of its proper divisors (1576877686806240).

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

381067480553760 is a wasteful number, since it uses less digits than its factorization.

381067480553760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 381067480553760 in words is "three hundred eighty-one trillion, sixty-seven billion, four hundred eighty million, five hundred fifty-three thousand, seven hundred sixty".