146969760000 has 1440 divisors, whose sum is σ = 617907806208. Its totient is φ = 30228480000.

The previous prime is 146969759999. The next prime is 146969760029. The reversal of 146969760000 is 67969641.

It is a super-2 number, since 2×146969760000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1770719959 + ... + 1770720041.

Almost surely, 2^146969760000 is an apocalyptic number.

146969760000 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 146969760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308953903104).

146969760000 is an abundant number, since it is smaller than the sum of its proper divisors (470938046208).

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

146969760000 is an equidigital number, since it uses as much as digits as its factorization.

146969760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 146969760000 in words is "one hundred forty-six billion, nine hundred sixty-nine million, seven hundred sixty thousand".