145694440039680 has 1152 divisors, whose sum is σ = 608508645212160. Its totient is φ = 32312527257600.

The previous prime is 145694440039661. The next prime is 145694440039691. The reversal of 145694440039680 is 86930044496541.

It is a happy number.

145694440039680 is a `hidden beast` number, since 1 + 4 + 5 + 69 + 4 + 4 + 400 + 3 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3285009505 + ... + 3285053855.

It is an arithmetic number, because the mean of its divisors is an integer number (528219310080).

Almost surely, 2^{145694440039680} is an apocalyptic number.

145694440039680 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 145694440039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304254322606080).

145694440039680 is an abundant number, since it is smaller than the sum of its proper divisors (462814205172480).

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

145694440039680 is a wasteful number, since it uses less digits than its factorization.

145694440039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44792 (or 44772 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 145694440039680 in words is "one hundred forty-five trillion, six hundred ninety-four billion, four hundred forty million, thirty-nine thousand, six hundred eighty".