146506992952320 has 11264 divisors, whose sum is σ = 798675075072000. Its totient is φ = 24970788864000.

The previous prime is 146506992952319. The next prime is 146506992952321. The reversal of 146506992952320 is 23259299605641.

146506992952320 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 0 + 69 + 9 + 29 + 523 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (146506992952319) and next prime (146506992952321).

It is a tau number, because it is divible by the number of its divisors (11264).

It is a super-2 number, since 2×146506992952320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (146506992952321) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 3573341291500 + ... + 3573341291540.

Almost surely, 2^{146506992952320} is an apocalyptic number.

146506992952320 is a gapful number since it is divisible by the number (10) 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 146506992952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399337537536000).

146506992952320 is an abundant number, since it is smaller than the sum of its proper divisors (652168082119680).

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

146506992952320 is a wasteful number, since it uses less digits than its factorization.

146506992952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 146506992952320 in words is "one hundred forty-six trillion, five hundred six billion, nine hundred ninety-two million, nine hundred fifty-two thousand, three hundred twenty".