145893779306496 has 1536 divisors, whose sum is σ = 487405900800000. Its totient is φ = 43369100476416.

The previous prime is 145893779306479. The next prime is 145893779306497. The reversal of 145893779306496 is 694603977398541.

145893779306496 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 9 + 37 + 7 + 93 + 0 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145893779306497) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243562235605 + ... + 243562236203.

It is an arithmetic number, because the mean of its divisors is an integer number (317321550000).

Almost surely, 2^{145893779306496} is an apocalyptic number.

145893779306496 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 145893779306496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243702950400000).

145893779306496 is an abundant number, since it is smaller than the sum of its proper divisors (341512121493504).

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

145893779306496 is an frugal number, since it uses more digits than its factorization.

145893779306496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 145893779306496 in words is "one hundred forty-five trillion, eight hundred ninety-three billion, seven hundred seventy-nine million, three hundred six thousand, four hundred ninety-six".