338457156048 has 800 divisors, whose sum is σ = 1139382634368. Its totient is φ = 96074035200.

The previous prime is 338457156047. The next prime is 338457156073. The reversal of 338457156048 is 840651754833.

338457156048 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 5 + 71 + 560 + 4 + 8 = 666.

It is a super-2 number, since 2×338457156048² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 338457155985 and 338457156003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338457156043) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2155777986 + ... + 2155778142.

Almost surely, 2^338457156048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338457156048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569691317184).

338457156048 is an abundant number, since it is smaller than the sum of its proper divisors (800925478320).

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

338457156048 is a wasteful number, since it uses less digits than its factorization.

338457156048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 338457156048 in words is "three hundred thirty-eight billion, four hundred fifty-seven million, one hundred fifty-six thousand, forty-eight".