162248372352 has 512 divisors, whose sum is σ = 532469376000. Its totient is φ = 48229171200.

The previous prime is 162248372329. The next prime is 162248372371. The reversal of 162248372352 is 253273842261.

162248372352 is a `hidden beast` number, since 1 + 6 + 2 + 248 + 372 + 35 + 2 = 666.

It is a super-3 number, since 3×162248372352³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 162248372298 and 162248372307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768949527 + ... + 768949737.

It is an arithmetic number, because the mean of its divisors is an integer number (1039979250).

Almost surely, 2^162248372352 is an apocalyptic number.

162248372352 is a gapful number since it is divisible by the number (12) 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 162248372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266234688000).

162248372352 is an abundant number, since it is smaller than the sum of its proper divisors (370221003648).

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

162248372352 is a wasteful number, since it uses less digits than its factorization.

162248372352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 519 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 162248372352 in words is "one hundred sixty-two billion, two hundred forty-eight million, three hundred seventy-two thousand, three hundred fifty-two".