352837396642848 has 1152 divisors, whose sum is σ = 1136189036150784. Its totient is φ = 95014757376000.

The previous prime is 352837396642799. The next prime is 352837396642849. The reversal of 352837396642848 is 848246693738253.

It is a super-2 number, since 2×352837396642848² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (352837396642849) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243168432523 + ... + 243168433973.

It is an arithmetic number, because the mean of its divisors is an integer number (986275204992).

Almost surely, 2^{352837396642848} is an apocalyptic number.

352837396642848 is a gapful number since it is divisible by the number (38) 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 352837396642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568094518075392).

352837396642848 is an abundant number, since it is smaller than the sum of its proper divisors (783351639507936).

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

352837396642848 is a wasteful number, since it uses less digits than its factorization.

352837396642848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2299 counting only the distinct ones).

The product of its digits is 10032906240, while the sum is 78.

The spelling of 352837396642848 in words is "three hundred fifty-two trillion, eight hundred thirty-seven billion, three hundred ninety-six million, six hundred forty-two thousand, eight hundred forty-eight".