146902669056 has 864 divisors, whose sum is σ = 541405562880. Its totient is φ = 37623398400.

The previous prime is 146902669049. The next prime is 146902669057. The reversal of 146902669056 is 650966209641.

It is a super-2 number, since 2×146902669056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146902668993 and 146902669011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146902669057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194058630 + ... + 194059386.

Almost surely, 2^146902669056 is an apocalyptic number.

146902669056 is a gapful number since it is divisible by the number (16) 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 146902669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270702781440).

146902669056 is an abundant number, since it is smaller than the sum of its proper divisors (394502893824).

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

146902669056 is a wasteful number, since it uses less digits than its factorization.

146902669056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 146902669056 in words is "one hundred forty-six billion, nine hundred two million, six hundred sixty-nine thousand, fifty-six".