342387553662000 has 1280 divisors, whose sum is σ = 1530043968061440. Its totient is φ = 71104023936000.

The previous prime is 342387553661977. The next prime is 342387553662001. The reversal of 342387553662000 is 266355783243.

342387553662000 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 8 + 7 + 5 + 5 + 3 + 6 + 620 + 0 + 0 = 666.

It is a super-2 number, since 2×342387553662000² (a number of 30 digits) contains 22 as substring.

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 (342387553662001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7413690909 + ... + 7413737091.

It is an arithmetic number, because the mean of its divisors is an integer number (1195346850048).

Almost surely, 2^{342387553662000} is an apocalyptic number.

342387553662000 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 342387553662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765021984030720).

342387553662000 is an abundant number, since it is smaller than the sum of its proper divisors (1187656414399440).

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

342387553662000 is a wasteful number, since it uses less digits than its factorization.

342387553662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48016 (or 47994 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 342387553662000 in words is "three hundred forty-two trillion, three hundred eighty-seven billion, five hundred fifty-three million, six hundred sixty-two thousand".