145564673661000 has 384 divisors, whose sum is σ = 537108110472960. Its totient is φ = 35263983744000.

The previous prime is 145564673660969. The next prime is 145564673661031. The reversal of 145564673661000 is 166376465541.

145564673661000 is a `hidden beast` number, since 1 + 4 + 5 + 564 + 6 + 7 + 3 + 66 + 10 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145564673660969) and next prime (145564673661031).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142744932 + ... + 143761068.

It is an arithmetic number, because the mean of its divisors is an integer number (1398719037690).

Almost surely, 2^{145564673661000} is an apocalyptic number.

145564673661000 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 145564673661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268554055236480).

145564673661000 is an abundant number, since it is smaller than the sum of its proper divisors (391543436811960).

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

145564673661000 is a wasteful number, since it uses less digits than its factorization.

145564673661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017622 (or 1017605 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 145564673661000 in words is "one hundred forty-five trillion, five hundred sixty-four billion, six hundred seventy-three million, six hundred sixty-one thousand".