146048625615978 has 48 divisors (see below), whose sum is σ = 333176363376480. Its totient is φ = 46109125379232.

The previous prime is 146048625615967. The next prime is 146048625615983. The reversal of 146048625615978 is 879516526840641.

146048625615978 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 4 + 8 + 6 + 2 + 561 + 59 + 7 + 8 = 666.

It is a super-2 number, since 2×146048625615978² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51834976 + ... + 54579867.

It is an arithmetic number, because the mean of its divisors is an integer number (6941174237010).

Almost surely, 2^{146048625615978} is an apocalyptic number.

146048625615978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

146048625615978 is an abundant number, since it is smaller than the sum of its proper divisors (187127737760502).

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

146048625615978 is a wasteful number, since it uses less digits than its factorization.

146048625615978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106418883 (or 106418880 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 146048625615978 in words is "one hundred forty-six trillion, forty-eight billion, six hundred twenty-five million, six hundred fifteen thousand, nine hundred seventy-eight".